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Finding the Fourth Proportional to 760.74, 1,049.81 and 429.17

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Solution

The fourth proportional to 760.74, 1,049.81 and 429.17 is: 592.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    760.74 : 1,049.81 = 429.17 : x
  2. Step 2: Convert to fraction form
    760.74/1,049.81 = 429.17/x
  3. Step 3: Cross multiply
    760.74x = 1,049.81 × 429.17
  4. Step 4: Simplify right side
    760.74x = 450,539.56
  5. Step 5: Solve for x
    x = 450,539.56/760.74
  6. Step 6: Final answer
    x = 592.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.